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Finding the Fourth Proportional to 14,464.92, 19,956.06 and 10,697.16

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Solution

The fourth proportional to 14,464.92, 19,956.06 and 10,697.16 is: 14,757.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.92 : 19,956.06 = 10,697.16 : x
  2. Step 2: Convert to fraction form
    14,464.92/19,956.06 = 10,697.16/x
  3. Step 3: Cross multiply
    14,464.92x = 19,956.06 × 10,697.16
  4. Step 4: Simplify right side
    14,464.92x = 213,473,166.79
  5. Step 5: Solve for x
    x = 213,473,166.79/14,464.92
  6. Step 6: Final answer
    x = 14,757.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.